What is the Least Common Multiple of 56805 and 56821?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56805 and 56821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56805 and 56821, than apply into the LCM equation.

GCF(56805,56821) = 1
LCM(56805,56821) = ( 56805 × 56821) / 1
LCM(56805,56821) = 3227716905 / 1
LCM(56805,56821) = 3227716905

Least Common Multiple (LCM) of 56805 and 56821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56805 and 56821. First we will calculate the prime factors of 56805 and 56821.

Prime Factorization of 56805

Prime Factorization of 56821

Now multiplying the highest exponent prime factors to calculate the LCM of 56805 and 56821.

LCM(56805,56821) = 3¹ × 5¹ × 7¹ × 541¹ × 56821¹
LCM(56805,56821) = 3227716905